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Finding the Fourth Proportional to 514.09, 770.77 and 253.77

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Solution

The fourth proportional to 514.09, 770.77 and 253.77 is: 380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.09 : 770.77 = 253.77 : x
  2. Step 2: Convert to fraction form
    514.09/770.77 = 253.77/x
  3. Step 3: Cross multiply
    514.09x = 770.77 × 253.77
  4. Step 4: Simplify right side
    514.09x = 195,597.03
  5. Step 5: Solve for x
    x = 195,597.03/514.09
  6. Step 6: Final answer
    x = 380.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.